Sections through the molecular Wigner function with zero momentum vari
able are shown to provide important information about the off-diagonal
regions of the spinless one-particle reduced density matrix. Since th
ese regions are characteristic for the bonding situation in molecules,
the sections are qualitatively even more affected by the presence of
chemical bonds than a complementary projection, the reciprocal form fa
ctor. In this paper we discuss, on the grounds of a variety of example
s, how this rather simple function may aid the understanding of the ch
emical bond on a one-particle level. (C) 1996 American Institute of Ph
ysics.